The triton in a finite volume

Understanding the volume dependence of the triton binding energy is an important step towards lattice simulations of light nuclei. We calculate the triton binding energy in a finite cubic box with periodic boundary conditions to leading order in the pionless effective field theory. Higher order corr...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. B Vol. 694; no. 4-5; pp. 424 - 429
Main Authors Kreuzer, Simon, Hammer, H.-W.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier B.V 03.01.2011
Elsevier
Subjects
Effective field theory
Exact sciences and technology
Few-body systems
Finite volume effects
Lattice QCD
Nuclear physics
Physics
The physics of elementary particles and fields
Lattice QCD
Finite volume effects
Few-body systems
Effective field theory
Effective field approximation
Nucleon-nucleon scattering
Pions
Binding energy
Light nuclei
Three body system
Triton
Boundary conditions
Renormalization
Critical mass
Corrections
Online AccessGet full text

Cover

More Information
Summary:Understanding the volume dependence of the triton binding energy is an important step towards lattice simulations of light nuclei. We calculate the triton binding energy in a finite cubic box with periodic boundary conditions to leading order in the pionless effective field theory. Higher order corrections are estimated and the proper renormalization of our results is verified explicitly. We present results for the physical triton as well as for the pion-mass dependence of the triton spectrum near the “critical” pion mass, Mπcrit≈197 MeV, where chiral effective field theory suggests that the nucleon–nucleon scattering lengths in the 1S0- and 3S1-channels diverge simultaneously. An extension of the Lüscher formula to the three-body system is implicit in our results.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2010.10.003